All categories

3 years ago

The sum of two integers is 54 and their difference is 10.

Mathematics

1 answer:

Mama L [17]3 years ago

7 0

Solve for x first

X+y=54

X-y=10

Add

2x=64

Divide

X=64/2

X= 32

So now get one equation and substitute x to solve for y

32+y=54

Y=54-32

Y= 22

So your two numbers is 32 and 22.

To check substitute

32+22=54

32-22=10

They check

You might be interested in

A small town's population, P, can be modeled by the equation P (t) = 45,000(2.66), where t is the time in years. Is the statemen

ICE Princess25 [194]

A function assigns the values. The statement "The rate of population growth each year is 166%" is true.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given the function of the population for the town is $P (t) = 45,000(2.66)^t$ , where t is the time in years. Comparing the given function to the general function of the population,

P(x) = a(1+b)ˣ

Then, the value of b will be 166%.

Hence, the statement "The rate of population growth each year is 166%" is true.

Learn more about Function:

brainly.com/question/5245372

#SPJ1

3 0

2 years ago

Solve the following system of liner equations:

nexus9112 [7]

First we get the value of y in terms of x

We have 2x + y + 9 = 0

We transpose 2x and 9 to the other side so we could get the value of y being:
y = - 2x - 9

Now that we have the value of y we can substitute it to the first equation
6x - 3y + 10 = 0
6x - 3 (-2x - 9) + 10 = 0
Simplifying the inside of the parentheses we would have
6x - (3)(-2x) - (3)(-9) + 10 =0
6x + 6x + 27 + 10 = 0

Combining similar terms we would get
12x + 37 = 0
We transpose 37 to the other side for easier simplification
12x = - 37
We divide both sides by 12 to get the value of x
12x/12 = - 37/12
Since 12/12 is equal to 1 our value of x would be
x = - 37/12
Or simply x = - 3.0833

Now that we know the value of x we can use it to obtain the value of y
y = - 2x - 9
y = - 2(-37/12) - 9
y = 37/6 - 9
y = - 17/6
Or in decimal y = - 2.8333

Final values of x and y would be
x = - 3.0833
y = - 2.8333

3 0

3 years ago

Read 2 more answers

At a concert 5/9 of the people in line are girls. 2/3 are wearing glasses, what fraction of the people are wearing glasses?

Setler79 [48]

The girl bit doesn't really matter except for how it says 5/9 which shows that you should factor it by 3's. If you multiply both the 2 and the 3 in 2/3 you would clearly get 6/9. Which is the same thing but is to get it matching with how the question wrote about the people wearing glasses.

Answer: 6/9 people

7 0

2 years ago

He loudness of a pile driver is 112 dB. About how many times the sound intensity of the jackhammer is the sound intensity of a p

chubhunter [2.5K]

Complete question :

The loudness of a jack hammer is 96 dB. Its sound intensity is about 0.004.

The loudness of a compactor is 94 dB. Its sound intensity is about 0.0025.

The sound intensity of the jack hammer is about 1.6 times the sound intensity of the compactor.

The loudness of a pile driver is 112 dB. About how many times the sound intensity of the jackhammer is the sound intensity of a pile driver? Round to the nearest ten.

Answer:

Step-by-step explanation:

Given that:

Sound intensity of jackhammer = 0.004

Sound intensity of compactor = 0.0025

Sound intensity of jackhammer is about 1.6 times the sound intensity of a compactor

Each factor of 10 in intensity corresponds to 10dB

Pile driver with loudness of 112dB ; 112 / 10 = 11.2

Hence, 10^11.2 = 1.58489 * 10^11

Hence, sound intensity (I) in watts per m²

I = 1.58489 * 10^11 * 10^-12

I = 1.58489 * 10-1

I = 0.158489

Comparing the intensity of pile driver and jackhammer :

Intensity of piledriver / Intensity of jackhammer

0.158489 / 0.004

= 39.622

= 40 (nearest ten)

3 0

2 years ago

Read 2 more answers

Help!! Which of the following represents a rotation

Neporo4naja [7]

Another test question. whyyy

Answer is the last one because look at the new coordinates shown in blue.

4 0

2 years ago